Question

Which graph best represents the solution to the following pair of equations?

y = −2x + 13

y = 2x − 3


A graph is plotted with values ranging from negative 10 to 10 on both x axis and y axis at increments of 1. Two lines having equations y is equal to negative 2 times x plus 13 and y is equal to 2 times x minus 3 are plotted. These 2 lines intersect at the ordered pair negative 4, negative 5.

A graph is plotted with values ranging from negative 10 to 10 on both x axis and y axis at increments of 1. Two lines having equations y is equal to negative 2 times x plus 13 and y is equal to 2 times x minus 3 are plotted. These 2 lines intersect at the ordered pair 4, 5.

A graph is plotted with values ranging from negative 10 to 10 on both x axis and y axis at increments of 1. Two lines having equations y is equal to negative 2 times x plus 13 and y is equal to 2 times x minus 3 are plotted. These 2 lines intersect at the ordered pair negative 4, 5.

A graph is plotted with values ranging from negative 10 to 10 on both x axis and y axis at increments of 1. Two lines having equations y is equal to negative 2x plus 13 and y is equal to 2x minus 3 are plotted. These 2 lines intersect at the ordered pair 4, negative 5.

Answer 1

Answer: The answer is (4, 5)

Explanation:

Answer 2

See attachment

EXPLANATION

The given equations are:

y = −2x + 13

y = 2x − 3

We equate the two equations to get

−2x + 13=2x − 3

Group similar terms:

-2x-2x=-3-13

-4x=-16

Divide both sides by -4,

x=4

Put x=4 into equation (2)

y=2(4)-3

y=5

The two graphs should intersect at:

(4,5)